101011000099968 has 288 divisors, whose sum is σ = 343856907810000. Its totient is φ = 28371127421952.

The previous prime is 101011000099957. The next prime is 101011000099979. The reversal of 101011000099968 is 869990000110101.

It is an interprime number because it is at equal distance from previous prime (101011000099957) and next prime (101011000099979).

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11834418 + ... + 18495281.

Almost surely, 2^{101011000099968} is an apocalyptic number.

101011000099968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

101011000099968 is an abundant number, since it is smaller than the sum of its proper divisors (242845907710032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101011000099968 is a wasteful number, since it uses less digits than its factorization.

101011000099968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30329792 (or 30329770 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 45.

The spelling of 101011000099968 in words is "one hundred one trillion, eleven billion, ninety-nine thousand, nine hundred sixty-eight".